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Finding the Third Proportional to 222,430.88 and 344,706.38

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Solution

The third proportional to 222,430.88 and 344,706.38 is: 534,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,430.88 : 344,706.38 = 344,706.38 : x
  2. Step 2: Convert to fraction form
    222,430.88/344,706.38 = 344,706.38/x
  3. Step 3: Cross multiply
    222,430.88x = 344,706.38 × 344,706.38
  4. Step 4: Simplify right side
    222,430.88x = 118,822,484,965.64
  5. Step 5: Solve for x
    x = 118,822,484,965.64/222,430.88
  6. Step 6: Final answer
    x = 534,199.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.